| 基于Hausdauff度量的模糊TOPSIS方法研究 |
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| 引用本文： | 侯志东,吴祈宗.基于Hausdauff度量的模糊TOPSIS方法研究[J].数学的实践与认识,2005,35(3):233-237. |
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| 作者姓名： | 侯志东 吴祈宗 |
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| 作者单位： | 北京理工大学管理与经济学院,北京,100081 |
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| 摘 要： | 针对模糊多属性决策中的模糊 TOPSIS方法 ,提出了一种基于 Hausdauff度量的模糊 TOPSIS方法 .首先由模糊极大集与模糊极小集确定模糊多属性决策问题的理想解与负理想解 ,进而由 Hausdauff度量获得不同备选方案到理想解与负理想解的距离及其贴近度 ,根据贴近度指标对方案进行排序 ,为决策者提供决策支持 .最后以 L-R梯形模糊数为例进行了实例研究 .
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| 关 键 词： | 模糊多属性决策 模糊TOPSIS方法 Hausdauff度量 L-R梯形模糊数 |
| 修稿时间： | 2004年11月26 |
Research on Fuzzy TOPSIS Method Based on Hausdauff Metric |
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| HOU Zhi-dong,WU Qi-zong.Research on Fuzzy TOPSIS Method Based on Hausdauff Metric[J].Mathematics in Practice and Theory,2005,35(3):233-237. |
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| Authors: | HOU Zhi-dong WU Qi-zong |
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| Abstract: | According to the TOPSIS method in the fuzzy multiple attribute decision-making (FMADM) Problem, we propose a new TOPSIS method based on Hausdauff metric. Firstly, we find the ideal point and anti-ideal point by maximum fuzzy set and minimum fuzzy set. Secondly, the distance and the closeness coefficient values of different alternatives versus ideal point and anti-ideal point are obtained by using the Hausdauff metric. Finally, all of the alternatives are ranked by the closeness coefficient values based on Hausdauff metric. At the end of this paper, we present a multiple attribute decision-making problem with L-R trapezoidal fuzzy numbers to illustrate the procedure of the proposed method. |
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| Keywords: | fuzzy multiple attribute decision making TOPSIS Hausdauff metric L-R trapezoidal fuzzy numbers |
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